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Finding the Third Proportional to 80,105,070 and 164,456,742

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Solution

The third proportional to 80,105,070 and 164,456,742 is: 337,631,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,070 : 164,456,742 = 164,456,742 : x
  2. Step 2: Convert to fraction form
    80,105,070/164,456,742 = 164,456,742/x
  3. Step 3: Cross multiply
    80,105,070x = 164,456,742 × 164,456,742
  4. Step 4: Simplify right side
    80,105,070x = 27,046,019,989,254,564
  5. Step 5: Solve for x
    x = 27,046,019,989,254,564/80,105,070
  6. Step 6: Final answer
    x = 337,631,812.68

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.